填充舒伯特多项式与布鲁哈特链的加权计数
组合数学
2020-11-03 v2
摘要
我们证明了一个共同推广：对于对称群上的强布鲁哈特序，以码权重和谢瓦莱权重两种权重计算极大链的加权数均为 。我们还定义了若干权重，给出麦克唐纳关于舒伯特多项式的约化字恒等式在强序情形下的单参数族类比。
引用
@article{arxiv.1905.00047,
title = {Padded Schubert polynomials and weighted enumeration of Bruhat chains},
author = {Christian Gaetz and Yibo Gao},
journal= {arXiv preprint arXiv:1905.00047},
year = {2020}
}
备注
12 pages, comments welcome; v2: minor edits and journal reference. Published version appears under the title "Weighted enumeration of Bruhat chains in the symmetric group", original title has been kept here due to existing references